Notes on a reduction property for GLP-algebras
L.D. Beklemishev
TL;DR
This paper explores a reduction property in GLP-algebras, extending it to free and topological variants, which could deepen understanding of their algebraic and topological structures.
Contribution
It introduces a generalized reduction property for GLP-algebras and establishes its analogue in free and topological cases, expanding the theoretical framework.
Findings
Reduction property extended to GLP-algebras
Analogue established for free GLP-algebras
Analogue established for topological GLP-algebras
Abstract
We consider some natural generalizations to the class of all GLP-algebras of the so-called reduction property for reflection algebras in arithmetic. An analogue of this property is established for the free GLP-algebras and for some topological GLP-algebras (GLP-spaces).
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Advanced Topics in Algebra